Quarterly of Applied Mathematics Quarterly of Applied Mathematics
Online ISSN: 1552-4485 Print ISSN: 0033-569X

     

A geometric approach to the extended D'Alembert principle of Udwadia-Kalaba-Hee-Chang

Author(s): Jorge E. Solomin; Marcela Zuccalli
Journal: Quart. Appl. Math. 63 (2005), 269-275.
MSC (2000): Primary 70F25; Secondary 70H45, 70G45
Posted: April 7, 2005
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: The extended D'Alembert Principle introduced by Udwadia, Kalaba, and Hee-Chang (1997) is analyzed in the framework developed by Vershik and Fadeev (1981) and shown to be equivalent to the general version of the Principle of virtual work presented therein.

References:

1.
V.I. Arnold, Mathematical Methods of Classical Mechanics (second edition). Graduate Texts in Mathematics 60, Springer Verlag, 1989. MR 0997295 (90c:58046)

2.
V.I. Arnold, V.V. Kozlov, A.I. Neishtadt, Mathematical Aspects of Classical and Celestial Mechanics (second edition). Springer Verlag, 1993. MR 1292466 (95d:58043b)

3.
P. Appell, Traité de Méchanique Rationelle (troisième édition). Gauthier-Villars, 1911.

4.
H. Goldstein, Ch. Poole, J. Safko, Classical Mechanics (third edition). Addison-Wesley, 2002.

5.
Ju.I Neimark, N.A. Fufaev, Dynamics of Nonholonomic Systems. AMS Translations of Mathematical Monographs, Vol. 33, 1972.

6.
F.E. Udwadia, R.E. Kalaba, E. Hee-Chang, Equations of motion for constrained mechanical systems and the extended D'Alembert principle, Quart. Appl. Math. (LV) 2, 321-331 (1997). MR 1447580 (98f:70016)

7.
A.M. Vershik, Fadeev L., Lagrangian mechanics in invariant form, Selecta Math. Soviet. (1), 339-350 (1981).

8.
E.T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. Cambridge University Press, 1904.

Similar Articles:

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 70F25, 70H45, 70G45

Retrieve articles in all Journals with MSC (2000): 70F25, 70H45, 70G45

Additional Information:

Jorge E. Solomin
Affiliation: Universidad Nacional de La Plata, Departamento de Matemática, CC 172, 1900 La Plata, Argentina

Marcela Zuccalli
Affiliation: Universidad Nacional de La Plata, Departamento de Matemática, Calle 50 esq 115, 1900 La Plata, Argentina

PII: S0033-569X-05-00944-7
Received by editor(s): April 8, 2003
Posted: April 7, 2005
Copyright of article: Copyright 2005, Brown University


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2009 Brown University
Comments: qam-query@ams.org		 AMS Website